Stability analysis and design of switched normal systems

Guisheng Zhai, Hai Lin, Xuping Xu, Anthony N. Michel

研究成果: Conference contribution

14 引用 (Scopus)

抄録

In this paper, we study stability property for a class of switched systems whose subsystems are normal. The subsystems can be continuous-time or discrete-time. When all continuous-time subsystems are Hurwitz stable and all discrete-time subsystems are Schur stable, we show that a common quadratic Lyapunov function exists for the subsystems and that the switched system is exponentially stable under arbitrary switching. When unstable subsystems are involved, we show that given a desired decay rate of the system, if the activation time ratio between unstable subsystems and stable ones is less than a certain value (calculated using the decay rate), then the switched system is exponentially stable with the desired decay rate.

元の言語English
ホスト出版物のタイトルProceedings of the IEEE Conference on Decision and Control
ページ3253-3258
ページ数6
3
出版物ステータスPublished - 2004
外部発表Yes
イベント2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas
継続期間: 2004 12 142004 12 17

Other

Other2004 43rd IEEE Conference on Decision and Control (CDC)
Bahamas
Nassau
期間04/12/1404/12/17

Fingerprint

Lyapunov functions
Chemical activation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality
  • Chemical Health and Safety

これを引用

Zhai, G., Lin, H., Xu, X., & Michel, A. N. (2004). Stability analysis and design of switched normal systems. : Proceedings of the IEEE Conference on Decision and Control (巻 3, pp. 3253-3258). [ThB02.4]

Stability analysis and design of switched normal systems. / Zhai, Guisheng; Lin, Hai; Xu, Xuping; Michel, Anthony N.

Proceedings of the IEEE Conference on Decision and Control. 巻 3 2004. p. 3253-3258 ThB02.4.

研究成果: Conference contribution

Zhai, G, Lin, H, Xu, X & Michel, AN 2004, Stability analysis and design of switched normal systems. : Proceedings of the IEEE Conference on Decision and Control. 巻. 3, ThB02.4, pp. 3253-3258, 2004 43rd IEEE Conference on Decision and Control (CDC), Nassau, Bahamas, 04/12/14.
Zhai G, Lin H, Xu X, Michel AN. Stability analysis and design of switched normal systems. : Proceedings of the IEEE Conference on Decision and Control. 巻 3. 2004. p. 3253-3258. ThB02.4
Zhai, Guisheng ; Lin, Hai ; Xu, Xuping ; Michel, Anthony N. / Stability analysis and design of switched normal systems. Proceedings of the IEEE Conference on Decision and Control. 巻 3 2004. pp. 3253-3258
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